Robust mode delay-dependent ∞ control of discrete-time systems with random communication delays

IET Control Theory and Applications

Volumn 4, Issue 6, 2010, Pages 936-944

  Chae, S ^a   Rasool, F ^a   Nguang, S K ^a   Swain, A ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION DELAYS; CONTROLLER DESIGNS; DELAY-DEPENDENT; DESIGN METHODOLOGY; DISCRETE TIME SYSTEM; FINITE STATE MARKOV PROCESS; LINEARISATION; LYAPUNOV-KRASOVSKII FUNCTIONALS; NOVEL METHODOLOGY; NUMERICAL EXAMPLE; OPTIMISATIONS; RANDOM COMMUNICATION DELAY; STATE FEEDBACK CONTROLLER;

ALGORITHMS; CONTROLLERS; DIGITAL CONTROL SYSTEMS; FEEDBACK; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MARKOV PROCESSES; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; UNCERTAIN SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 77953605627     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2009.0096     Document Type: Article

References (26)

1. Huang, D., and Nguang, S.K.: ' State feedback control of uncertain networked control systems with random time delays ', IEEE Trans. Autom. Control, 2008, 53, (3), p. 829-834 0018-9286
2. Zhang, Y., Zhong, Q., and Wei, L.: ' Stability of networked control systems with communication constraints ', 2008 Chinese Control and Decision Conf., 2008, p. 335-339
3. Bushnell, L.: ' Networks and Control [Guest editorial] ', IEE Control Syst. Mag., 2001, 21, (1), p. 22-23
4. Zhang, W., Branicky, M., and Phillips, S.: ' Stability of networked control systems ', IEEE Control Syst. Mag., 2001, 21, (1), p. 84-99 0272-1708 (Pubitemid 32869524)
5. Ling, W., Yu, X.D., and Zhi, E.D.: ' Some basic issues in networked control systems ', Second IEEE Conf. on Industrial Electronics and Applications, 2007, p. 2098-2102
6. ∞ analysis for time-delay systems with Markovian jumping parameters ', J. Franklin Inst., 2000, 45, p. 423-434 0016-0032
7. Wang, Z.D., Lam, J., and Liu, X.H.: ' Exponential filtering for uncertain Markovian jump time-delay systems with nonlinear disturbances ', IEEE Trans. Circuits Syst., 2004, 51, p. 262-268 0098-4094
8. Xu, S.Y., Lam, J., and Mao, X.R.: ' Delay-dependent H1 control and filtering for uncertain Markovian jump systems with time-varying delays ', IEEE Trans. Circuits Syst., 2007, 54, p. 561-566 0098-4094
9. Wang, Z., and Yang, F.: ' Robust filtering for uncertain linear systems with delayed states and outputs ', IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., 2002, 49, (1), p. 125-130 1057-7122 (Pubitemid 34228699)
10. Gao, H., Chen, T., and Lam, J.: ' A new model for time-delay systems with application to network based control ', 2006 Chinese Control Conf., 2006, p. 56-61
11. Hu, S., and Yan, W.: ' Stability robustness of networked control systems with respect to packet loss ', Automatica, 2007, 43, (7), p. 12431248 0005-1098
12. ∞ control for networked systems with random communication delays ', IEEE Trans. Autom. Control, 2006, 51, (3), p. 511-518 0018-9286
13. Srinivasagupta, D., Schttler, H., and Joseph, B.: ' Time-stamped model predictive control: an algorithm for control of processes with random delays ', Comput. Chem. Eng., 2004, 28, (8), p. 1337-1346 0098-1354
14. Hayes, J.F.: ' Modeling and analysis of computer communications networks ', (Plenum Press, New York and London, 1984)
15. Nilsson, J.: ' Real-time control systems with delays ', 1998, PhD, Lund Institute of Technology, Lund
16. Yufeng, W., Changhong, W., and Xu, H.: ' Guaranteed cost control with random communication delays via jump linear system approach ', Eighth Control, Automation, Robotics and Vision Conf., 2004, 1, p. 298-303
17. Kolmanovsky, I.V., and Maizenberg, T.L.: ' Optimal control of continuous-time linear systems with a time-varying, random delay ', Syst. Control Lett., 2001, 44, (2), p. 119-126 0167-6911
18. ∞ filtering for switched linear discrete-time systems with polytopic uncertainties ', Int. J. Adapt. Control Signal Process., 2006, 21, p. 291-304 0890-6327 (Pubitemid 44220486)
19. Zhang, L., Boukas, EI.K., and Lam, J.: ' Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities ', IEEE Trans. Autom. Control, 2008, 53, (10), p. 2458-2464 0018-9286
20. ∞ Model reduction for switched LPV systems wit average dwell time ', IEEE Trans. Autom. Control, 2008, 53, (10), p. 2443-2448 0018-9286
21. Boukas, E.K., and Liu, Z.K.: ' Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays ', J. Optim. Theory Appl., 2001, 109, (3), p. 587-600 0022-3239
22. Boukas, E.K., Shi, P., Karan, M., and Kaya, C.Y.: ' Linear discrete-time systems with Markovian jumps and mode dependent time-delay: stability and stabilizability ', Math. Probl. Eng., 2002, 8, (2), p. 123-133 1024-123X
23. Guan, Z.H., Chen, W.H., and Xu, J.X.: ' Delay-dependent stability and stabilizability of uncertain jump bilinear stochastic systems with mode-dependent time-delays ', Int. J. Syst. Sci., 2005, 36, (5), p. 275-285 0020-7721
24. Chen, W.H., and Zheng, W.X.: ' Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties ', Proc. 46th IEEE Conf. on Decision and Control, New Orleans, LA, USA, 2007, p. 3054-3059
25. Xiao, L., Hassibi, A., and How, J.P.: ' Control with random communication delays via a discrete-time jump system approach ', Proc. 2000 American Control Conf., 2000, p. 2199-2204
26. El Ghaoui, L., Oustry, F., and AitRami, M.: ' A cone complementarity linearization algorithm for static output-feedback and related problems ', IEEE Trans. Autom. Control, 1997, 42, (8), p. 1171-1176 0018-9286